cp's OEIS Frontend

A136460 Number of partitions of n into parts which are not digits of n in decimal representation.

%I A136460 #5 Feb 02 2020 17:40:23
%S A136460 0,1,2,4,6,10,14,21,29,11,13,8,10,18,23,33,40,55,64,170,35,244,119,
%T A136460 174,234,303,384,475,577,1215,180,399,1844,904,1194,1538,1901,2326,
%U A136460 2776,5681,719,1517,2391,9042,4426,5594,6877,8286,9819,20481,2184,4599,7187,10050,33591
%N A136460 Number of partitions of n into parts which are not digits of n in decimal representation.
%H A136460 Andrew Howroyd, <a href="/A136460/b136460.txt">Table of n, a(n) for n = 1..10000</a>
%e A136460 a(12) = #{9+3,8+4,7+5,6+6,6+3+3,5+4+3,4+4+4,3+3+3+3} = 8;
%e A136460 a(13) = #{9+4,9+2+2,8+5,7+6,7+4+2,7+2+2+2,6+5+2,5+4+4,5+4+2+2,5+2+2+2+2} = 10.
%o A136460 (PARI) a(n)={my(S=Set(digits(n))); polcoef(1/prod(k=1, 9, 1 - if(!setsearch(S,k), x^k) + O(x*x^n)), n)} \\ _Andrew Howroyd_, Feb 02 2020
%Y A136460 Cf. A061827.
%K A136460 nonn,base
%O A136460 1,3
%A A136460 _Reinhard Zumkeller_, Dec 30 2007
%E A136460 Terms a(38) and beyond from _Andrew Howroyd_, Feb 02 2020